bio | website | |
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location | ||
age | 35 | |
visits | member for | 5 years, 9 months |
seen | Feb 11 at 17:17 | |
stats | profile views | 403 |
Mar 16 |
awarded | Enlightened |
Mar 16 |
awarded | Nice Answer |
Feb 18 |
awarded | Enlightened |
Oct 2 |
awarded | Caucus |
Jul 2 |
awarded | Yearling |
Jun 25 |
awarded | Yearling |
Dec 31 |
awarded | Nice Answer |
Apr 15 |
comment |
Explicit Bijection between Central Simple Algebras and twists of $\mathbb P^n$
@Bhargav: thanks for your addition. It's what I didn't want to write, because I wasn't as familiar with the descent argument. My bundle I and your bundle J are the same, right? |
Apr 12 |
answered | Explicit Bijection between Central Simple Algebras and twists of $\mathbb P^n$ |
Jan 29 |
awarded | Scholar |
Jan 29 |
accepted | Cartan Matrices of type B and C. |
Oct 3 |
revised |
Rationality of three-dimensional torus
deleted 13 characters in body |
Oct 3 |
comment |
Rationality of three-dimensional torus
Basically, by taking character lattice of a torus, you are able to move back and forth between the world of algebraic tori and lattices of finite rank on which the Galois group acts. There is a theorem that says that a torus $T$ is stably rational if and only if the the character module $\hat{T}$ is stably permutation,, i.e. there exists a short exact sequence \begin{equation} 1 \rightarrow \hat{T} \rightarrow P_1 \rightarrow P_2 \rightarrow 1, \end{equation} with $P_1$, $P_2$ permutation modules. The book proves that such a sequence does not exist, so the torus is not stably rational. |
Oct 2 |
revised |
Rationality of three-dimensional torus
added 7 characters in body |
Sep 30 |
answered | Rationality of three-dimensional torus |
Jul 22 |
awarded | Student |
Jul 22 |
asked | Cartan Matrices of type B and C. |
Jul 26 |
answered | How is K-theory defined for coherent sheaves? |
Jun 11 |
awarded | Enthusiast |
May 13 |
awarded | Editor |